AMC10 2016 B

AMC10 2016 B · Q2

AMC10 2016 B · Q2. It mainly tests Exponents & radicals.

If $n \heartsuit m = n^3 m^2$, what is $\dfrac{2 \heartsuit 4}{4 \heartsuit 2}$?

如果 $n \heartsuit m = n^3 m^2$，那么 $\dfrac{2 \heartsuit 4}{4 \heartsuit 2}$ 的值是多少？

(A) $\frac{1}{4}$ $\frac{1}{4}$

(B) $\frac{1}{2}$ $\frac{1}{2}$

(D) 2 2

(E) 4 4

Answer

Correct choice: (B)

正确答案：（B）

Solution

Answer (B): $\dfrac{2\heartsuit 4}{4\heartsuit 2}=\dfrac{2^3\cdot 4^2}{4^3\cdot 2^2}=\dfrac{2}{4}=\dfrac{1}{2}$

答案（B）：$\dfrac{2\heartsuit 4}{4\heartsuit 2}=\dfrac{2^3\cdot 4^2}{4^3\cdot 2^2}=\dfrac{2}{4}=\dfrac{1}{2}$

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